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Mathematical Modelling and Analysis of Vaccine
Acceptance Population in Malaysia
Diong Pei Yun
Supervisor: Dr. Auni Aslah Bin Mat Daud
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
Vaccine acceptance refers a spectrum of behaviors and beliefs from the rejection of all
vaccines to accept all the vaccines. The objectives of this study are to construct a
mathematical model of vaccine acceptance population, carry out the stability analysis of
the model to investigate the behavior of the model and perform the sensitivity analysis
on the model parameters to determine the key model parameters for the selection of the
most effective control strategies. The dependent variables of the model are vaccine
acceptance population, vaccine hesitant population and vaccine refusal population.
Besides, the model is governed by a system of three first-order ordinary differential
equations. The model has six possible equilibrium points. Wolfram Mathematica 11 is
used to find out the equilibrium points. The local stability analysis is carried out using
Jacobian matrix and Routh-Hurwitz criteria. The normalized forward sensitivity index is
used in the sensitivity analysis.
802 | UMT UNDERGRADUATE RESEARCH DAY 2018